25346248704 has 416 divisors, whose sum is σ = 88855968000. Its totient is φ = 6985875456.

The previous prime is 25346248661. The next prime is 25346248721. The reversal of 25346248704 is 40784264352.

It is a happy number.

25346248704 is a `hidden beast` number, since 2 + 534 + 6 + 2 + 48 + 70 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 25346248704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22449612 + ... + 22450740.

Almost surely, 2^25346248704 is an apocalyptic number.

25346248704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25346248704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44427984000).

25346248704 is an abundant number, since it is smaller than the sum of its proper divisors (63509719296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

25346248704 is a wasteful number, since it uses less digits than its factorization.

25346248704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 25346248704 in words is "twenty-five billion, three hundred forty-six million, two hundred forty-eight thousand, seven hundred four".